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Finding the Third Proportional to 186,282 and 295,098.75

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Solution

The third proportional to 186,282 and 295,098.75 is: 467,480.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,282 : 295,098.75 = 295,098.75 : x
  2. Step 2: Convert to fraction form
    186,282/295,098.75 = 295,098.75/x
  3. Step 3: Cross multiply
    186,282x = 295,098.75 × 295,098.75
  4. Step 4: Simplify right side
    186,282x = 87,083,272,251.56
  5. Step 5: Solve for x
    x = 87,083,272,251.56/186,282
  6. Step 6: Final answer
    x = 467,480.87

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.